Corpus ID: 238408041

A note on exponential varieties, statistical manifolds and Frobenius structures

@inproceedings{Combe2021ANO,
  title={A note on exponential varieties, statistical manifolds and Frobenius structures},
  author={Noemie C. Combe},
  year={2021}
}
  • N. Combe
  • Published 6 October 2021
  • Mathematics
In this paper we consider a class of manifolds corresponding to statistical models, related to exponential families. Exponential manifolds have been considered from the point of view of information geometry and independently real algebraic geometry. However, investigations on this object have evolved independently on both sides, creating a certain gap. The aim of this paper is to unify those both approaches, by first establishing a dictionary between them, and secondly connecting them by… Expand

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